混合压电分流电路作用下声子晶体杆振动带隙结构分析  

Band gap structure analysis of phononic crystal rods with hybrid shunted piezoelectric patches

作　　者：贺彦博[1] 杜敬涛[1] 

机构地区：[1]哈尔滨工程大学动力与能源工程学院,哈尔滨150001

出　　处：《声学学报》2015年第5期615-624,共10页Acta Acustica

基　　金：国家自然科学基金(11202056);中央高校基本科研业务费专项资金(HEUCFQ1402)资助

摘　　要：对于电阻电感(RL)及负阻抗变换器(NIC)混合压电分流电路分别采用紧密及间隔排列方式进行带隙结构计算,并且针对分流电路中电阻、电感及电容对于局域共振带隙的影响进行研究。采用传递矩阵法建立了压电分流电路作用下声子晶体杆带隙分析的理论模型,并运用MATLAB语言对带隙结构进行编程仿真计算。通过电阻、电感、电容参数的匹配及电路不同排列方式的对比,最终得到了在混合间隔压电分流电路作用下宽度为13 kHz的带隙,并对振动控制系统稳定性进行了分析。研究结果表明:采用混合压电分流电路会对杆件带隙结果产生影响,且采用压电片间隔排列的方式会使带隙宽度明显扩大。The band gap structure by arranging hybrid shunted piezoelectric materials with resistance inductive （RL） circuit and negative impedance converter （NIC） closely and at intervals is presented. The theoretical model is built using transfer matrix method. Then the MATLAB is utilized to simulate the band gap structures. Meanwhile, the effect of the resistance, inductance and capacitance on the local resonant gap are studied. By comparing different combinations of resistance, inductance and capacitance as well as different arrangement of circuits, a 13 kHz band gap is reached under the effect of arranging hybrid periodic shunted piezoelectric patches at intervals and the stability of the system is also analyzed. It is shown that utilizing hybrid shunted piezoelectric patches will have a clear impact on the band gap structure of phononic crystal rods. Moreover, the band gap can be clearly enlarged by arranging hybrid piezoelectric patches at intervals.

关 键 词：振动带隙 声子晶体 压电片 电路 分流 混合 结构分析 MATLAB语言 

分 类 号：O735[理学—晶体学]